Materials Modelling using Density Functional Theory: Properties and Predictions (Paperback) (利用密度泛函理論的材料建模：性質與預測)

<內容簡介>

。First book on density functional theory and materials modelling written for an undergraduate readership
。Self-contained, with only elementary prior knowledge in quantum mechanics assumed
。Intermediate steps and final answers provided for most exercises
。Good list of references to the original literature

This book is an introduction to the quantum theory of materials and first-principles computational materials modelling. It explains how to use density functional theory as a practical tool for calculating the properties of materials without using any empirical parameters. The structural, mechanical, optical, electrical, and magnetic properties of materials are described within a single unified conceptual framework, rooted in the Schrodinger equation of quantum mechanics, and powered by density functional theory.

This book is intended for senior undergraduate and first-year graduate students in materials science, physics, chemistry, and engineering who are approaching for the first time the study of materials at the atomic scale. The inspiring principle of the book is borrowed from one of the slogans of the Perl programming language, 'Easy things should be easy and hard things should be possible'. Following this philosophy, emphasis is placed on the unifying concepts, and on the frequent use of simple heuristic arguments to build on one's own intuition. The presentation style is somewhat cross disciplinary; an attempt is made to seamlessly combine materials science, quantum mechanics, electrodynamics, and numerical analysis, without using a compartmentalized approach. Each chapter is accompanied by an extensive set of references to the original scientific literature and by exercises where all key steps and final results are indicated in order to facilitate learning. This book can be used either as a complement to the quantum theory of materials, or as a primer in modern techniques of computational materials modelling using density functional theory.
 <章節目錄>

1: Computational materials modelling from first principles
2: Many-body Schrodinger equation
3: Density-functional theory
4: Equilibrium structures of materials: fundamentals
5: Equilobrium structures of materials: calculation vs. experiment
6: Elastic properties of materials
7: Vibrations of molecules and solids
8: Phonons, vibrational spectroscopy, and thermodynamics
9: Band structures and photoelectron spectroscopy
10: Dielectric function and optical spectra
11: Density-functional theory and magnetic materials
Appendix A: Derivation of the Hartree-Fock equations
Appendix B: Derivation of the Kohn-Sham equations
Appendix C: Numerical solution of the Kohn-Sham equations
Appendix D: Reciprocal lattice and Brillouin zone
Appendix E: Pseudopotentials